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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Experimental Physics

NTA Abhyas 2020 · Physics · Experimental Physics

In an experiment for the determination of the speed of sound in air...

In an experiment for the determination of the speed of sound in air using the resonance method, the length of the air column that resonates in the fundamental mode with a tuning fork is 0.1m0. 1m. When this length is changed to 0.35m0. 35m,& the same tuning fork resonates with the first overtone. The end correction is

Options

  1. A0.012m0. 012m
  2. B0.025m0. 025m
  3. C0.05m0. 05m
  4. D0.024m0. 024m

Correct answer

B. 0.025m0. 025m

Step-by-step solution

λ4=e+l1\dfrac{λ}{4} = e + {l}_{1}

3λ4=e+l2\dfrac{3\lambda}{4} = e + {l}_{2}

e+l2=3e+3l1e + {l}_{2} = 3e + 3{l}_{1}

e=l2−3l12=0.35−0.32=0.052=0.025 me = \dfrac{l{}_{2} - 3l{}_{1}}{2} = \dfrac{\text{0.35} - \text{0.3}}{2} = \dfrac{0.05}{2} = \text{0.025 m}

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